Equivalence of Classification and Regression Under Support Vector Machine Theory

Author(s):  
Chunguo Wu ◽  
Yanchun Liang ◽  
Xiaowei Yang ◽  
Zhifeng Hao
2021 ◽  
Author(s):  
Lance F Merrick ◽  
Dennis N Lozada ◽  
Xianming Chen ◽  
Arron H Carter

Most genomic prediction models are linear regression models that assume continuous and normally distributed phenotypes, but responses to diseases such as stripe rust (caused by Puccinia striiformis f. sp. tritici) are commonly recorded in ordinal scales and percentages. Disease severity (SEV) and infection type (IT) data in germplasm screening nurseries generally do not follow these assumptions. On this regard, researchers may ignore the lack of normality, transform the phenotypes, use generalized linear models, or use supervised learning algorithms and classification models with no restriction on the distribution of response variables, which are less sensitive when modeling ordinal scores. The goal of this research was to compare classification and regression genomic selection models for skewed phenotypes using stripe rust SEV and IT in winter wheat. We extensively compared both regression and classification prediction models using two training populations composed of breeding lines phenotyped in four years (2016-2018, and 2020) and a diversity panel phenotyped in four years (2013-2016). The prediction models used 19,861 genotyping-by-sequencing single-nucleotide polymorphism markers. Overall, square root transformed phenotypes using rrBLUP and support vector machine regression models displayed the highest combination of accuracy and relative efficiency across the regression and classification models. Further, a classification system based on support vector machine and ordinal Bayesian models with a 2-Class scale for SEV reached the highest class accuracy of 0.99. This study showed that breeders can use linear and non-parametric regression models within their own breeding lines over combined years to accurately predict skewed phenotypes.


Author(s):  
Trần Đức Học ◽  
Lê Tấn Tài

Mô phỏng và dự báo năng lượng tiêu thụ đóng vai trò quan trọng trong việc thiết lập chính sách năng lượng và đưa ra quyết định theo hướng phát triển bền vững. Nghiên cứu này sử dụng phương pháp kỹ thuật thống kê và công cụ trí tuệ nhân tạo bao gồm mạng nơ-ron thần kinh (ANNs – Artificial neutral networks), máy hỗ trợ véc tơ (SVM – Support vector machine), cây phân loại và hồi quy (CART - Classification and regression trees), hồi quy tuyến tính (LR - Linear regression), hồi quy tuyến tính tổng quát (GENLIN - Generalized linear regression), tự động phát hiện tương tác Chi-squared (CHAID - Chi-square automatic interaction detector) và mô hình tổng hợp (Ensemble model) để dự đoán mức tiêu thụ năng lượng trong các căn hộ tòa nhà chung cư. Bộ dữ liệu để xây dựng mô hình gồm 200 mẫu được khảo sát ở nhiều chung cư tại TP. Hồ Chí Minh. Mô hình đơn có hiệu quả tốt nhất trong quá trình dự đoán là CART, trong khi đó mô hình được tổng hợp tốt nhất là CART + GENLIN. Từ khóa: ước tính; tòa nhà; tiêu thụ năng lượng; khai phá dữ liệu, trí tuệ nhân tạo.


IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 194795-194807
Author(s):  
Rezzy Eko Caraka ◽  
Youngjo Lee ◽  
Rung-Ching Chen ◽  
Toni Toharudin

2012 ◽  
Vol 588-589 ◽  
pp. 1409-1413
Author(s):  
Guo Dong Zhu ◽  
Hui Lin ◽  
Chen Wang

Based on back-stepping control design, adaptive control and least squares support vector machine theory, a new least squares support vector machine adaptive back-stepping control law was designed for strictly block type of feedback nonlinear systems control with uncertainties. Least squares support vector machine theory method to approximate a nonlinear function of uncertain nonlinear systems by analyzing the disadvantage of common back-stepping. New control law of the nonlinear systems is achieved without accurate mathematical model. The method overcomes the impact of the bounded uncertainties on the control system. On this basis, the system stability and convergence are proved by Lyapunov method. Simulation results indicate that the designed control law has strong robustness and adaptability, uncertainties that exist in the strict block feedback nonlinear systems.


2014 ◽  
Vol 1030-1032 ◽  
pp. 1814-1817
Author(s):  
Lan Lan Kang ◽  
Wen Liang Cao

Support vector machine is a beginning of the 1990s, based on statistical learning theory proposed new machine learning method, which structural risk minimization principle as the theoretical basis, by appropriately selecting a subset of functions and discriminant function in the subset, so the actual risk of learning machine to a minimum, to ensure that the limited training samples obtained through a small error classifier, an independent test set for testing error remains small. In this paper, support vector machine theory, algorithm, application status, etc. are discussed in detail.


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